Diestel-Faires定理在局部凸空间中的推广

摘要

通过Banach 空间与局部凸空间的对比，将Banach 空间上的Diestel-Faires 定理在局部凸空间上进行推广。进一步给出了局部凸空间上的Orlicz-Pettis定理与推论。%By contrasting Banach space and locally convex spaces, we promote Diestel-Faires theorem to locally convex space, and put up with Orlicz-Pettis theorem of locally convex spaces and the deduction of the Diestel-Faires theorem.